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Finding the Third Proportional to 39,320.25 and 82,285.50

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Solution

The third proportional to 39,320.25 and 82,285.50 is: 172,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,320.25 : 82,285.50 = 82,285.50 : x
  2. Step 2: Convert to fraction form
    39,320.25/82,285.50 = 82,285.50/x
  3. Step 3: Cross multiply
    39,320.25x = 82,285.50 × 82,285.50
  4. Step 4: Simplify right side
    39,320.25x = 6,770,903,510.25
  5. Step 5: Solve for x
    x = 6,770,903,510.25/39,320.25
  6. Step 6: Final answer
    x = 172,198.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.